Problem 1. In the circuit shown below, find the current through each resistor. Call the current through 78 0 resistor /1, the current through the 33 0 resistor 12, the current through the 42 0 resistor 13, and the current through the 95 0 resistor I4. 95 0 42 02 78 0 33 0 9.0 V Problem 2. A 250 #F capacitor has an initial voltage Vo = 15 V across it. At time t = 0 it is connected across a 15 kS resistor, allowing it to discharge. (a) What is the voltage across the resistor at time t = 2.0 seconds? (b) After what time t does the voltage decrease to 1% of its initial value? Problem 3. A point charge q = 17 nc is moving with a speed of 150 m/s in a magnetic field of 175 G. The directions of the velocity 7 and the magnetic field B are shown in the diagram. What is the resulting force F? Be sure to specify both its magnitude and its direction. (In this case, it is fine to specify the direction verbally, e.g. into the page, out of the page, etc.) B 0 = 1400 Problem 4. A point charge q = 25 /C moves at a speed of 27 m/s in a region in which there is an external electric field E with a magnitude of 26 N/C and an external magnetic field B with a magnitude of 180 G as shown in the diagram. Note that the direction of 7 is into the page. What is the net force F on the charge? You should specify F in terms of its a and y components. E 0 = 400 B Problem 5. A proton undergoes circular motion in the plane of the page due to a uniform magnetic field B that points directly out of the page with a magnitude of 1.25 mT. If the radius of the circular motion is 1.50 mm, what is the proton's speed and what is the orbital period